GAASU Quest V — Proof Pack v1.0: H_align ⇒ Continuation (3D Navier–Stokes, R^3)

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Authors: Hisashi Suga
Cited by: 0

Abstract

Description (paste-ready) This record provides an audit-ready Proof Pack (v1.0) for a limited, conditional claim in the 3D incompressible Navier–Stokes setting on R^3. Scope (No Overclaim). This record does not claim a general solution to the Millennium Problem by default, and it does not claim global regularity for arbitrary initial data. Claim v1.0 (Conditional Continuation Closure). Let u be a smooth Navier–Stokes solution on R^3 x [0,T). Assume the Hero subclass hypothesis H_align holds on [0,T): with omega := curl u and xi := omega/|omega| on omega != 0, fix a constant M > 0 and define Omega_M(t) := {x in R^3 : |omega(x,t)| > M}. Assume there exists L(t) >= 0 such that ||grad xi(.,t)||_{inf,Omega_M(t)}

Fields of Study & Subjects

Navier-Stokes equation solutions Nonlinear Partial Differential Equations Advanced Mathematical Physics Problems

Publication details

Journal / source
Zenodo (CERN European Organization for Nuclear Research)
Publication date
18 January 2026
Language
EN
Document type
Preprint